Sum of Angles in a Triangle
Read this topicExplanations 3
- The sum of the interior angles in a triangle is 180∘180^\circ180∘. You can prove this by setting one of the vertices of the triangle onto a line parallel to the base. Now think …
By Freya Edholm
- As we know, the sum of the interior angles α\alphaα, β\betaβ, and γ\gammaγ is 180∘180^\circ180∘. Our exterior angles are 180−α180-\alpha180−α, 180−β180-\beta180−β, and 180−γ180-…
By Freya Edholm
- ত্রিভুজের অন্তঃস্থ তিন কোণের সমষ্টি হ্যালো! :) আমরা সবাই নিশ্চয় ত্রিভুজ সম্পর্কে মোটামুটি জানি এবং জ্যামিতির দুনিয়ায় এই ত্রিভুজকে বিভিন্নভাবে কাজে লাগাই। ত্রিভুজ নিয়ে যেকোনো আলো…
By Tashki , Zawadx · বাংলা
Problems 17
- In triangle ABCABCABC, angles AAA and BBB have total measure 120∘120^\circ120∘. In degrees, what is the measure of angle CCC?
- In triangle ABCABCABC, angle AAA has measure 180∘−2∠C180^\circ - 2\angle{C}180∘−2∠C. If AC=3AC = 3AC=3 and BC=2BC = 2BC=2, find the perimeter of triangle ABCABCABC.
- একটি সমদ্বিবাহু ত্রিভুজের শীর্ষবিন্দুতে অবস্থিত কোণটির মান 50°। অবশিষ্ট কোণ দুইটির মান নির্ণয় কর।
বাংলা
- What is the measure of angle a in the above figure?
- What is the measure of angle x in the above figure?
- In triangle ABCABCABC, angle AAA has measure 55∘55^{\circ}55∘ and angle BBB has measure 47∘47^{\circ}47∘. What is the measure of angle CCC?
- In triangle ABCABCABC, angle AAA has measure 45∘45^{\circ}45∘ and angle BBB has measure 32∘32^{\circ}32∘. What is the measure of angle CCC?
- In triangle ABCABCABC, angle AAA has measure 80∘80^{\circ}80∘ and angle BBB has measure 95∘95^{\circ}95∘. What is the measure of angle CCC?
- In triangle ABCABCABC, angle AAA has measure 85∘85^{\circ}85∘ and angle BBB has measure 35∘35^{\circ}35∘. What is the measure of angle CCC?
- A triangle's angles are in the ratio 8:11:17. What is the size of the second largest angle?
- The isosceles triangle ABC has angle measures ∠A=54,∠B=∠C=x\angle A=54, \angle B= \angle C=x∠A=54,∠B=∠C=x. What is the measure of ∠C\angle C∠C?
- A triangle's angles are in the ratio 5:6:7. What is the size of the smallest angle?
- A triangle's sides are in the ratio 1:1:1. What is the size of the largest angle?
- What is the measure of ∠BDC\angle BDC∠BDC?
- What is the measure of ∠ACD\angle ACD∠ACD?
- What is the measure of ∠ABD\angle ABD∠ABD?
- While in college, your little brother sends you the following problem in the mail. It was on his last homework and he got it wrong, but he doesn't know why: \begin{align*} &\tex…